A class of unbounded Fourier multipliers on the unit complex ball
Summary: We introduce a class of Fourier multiplier operators \(M_b\) on \(n\)-complex unit sphere, where the symbol \(b \in H^s(S_\omega)\). We obtained the Sobolev boundedness of \(M_b\). Our result implies that the operators \(M_b\) take a role of fractional differential operators on \(\partial \mathbb{B}\).
scientific article; zbMATH DE number 7022701
scientific article